1 asin(x)
------------------- + --------------------
________ ________
/ 2 / 2 2
\/ 1 - x *acos(x) \/ 1 - x *acos (x)
$$\frac{1}{\sqrt{1 - x^{2}} \operatorname{acos}{\left(x \right)}} + \frac{\operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}} \operatorname{acos}^{2}{\left(x \right)}}$$
x 2 2*asin(x) x*asin(x)
----------- - ----------------- - ------------------ + -------------------
3/2 / 2\ / 2\ 2 3/2
/ 2\ \-1 + x /*acos(x) \-1 + x /*acos (x) / 2\
\1 - x / \1 - x / *acos(x)
--------------------------------------------------------------------------
acos(x)
$$\frac{\frac{x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{x \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{acos}{\left(x \right)}} - \frac{2}{\left(x^{2} - 1\right) \operatorname{acos}{\left(x \right)}} - \frac{2 \operatorname{asin}{\left(x \right)}}{\left(x^{2} - 1\right) \operatorname{acos}^{2}{\left(x \right)}}}{\operatorname{acos}{\left(x \right)}}$$
2 2
1 3*x 6 asin(x) 6*x 6*asin(x) 3*x *asin(x) 6*x*asin(x)
----------- + ----------- + -------------------- + ------------------- + ------------------ + -------------------- + ------------------- + -------------------
3/2 5/2 3/2 3/2 2 3/2 5/2 2
/ 2\ / 2\ / 2\ 2 / 2\ / 2\ / 2\ 3 / 2\ / 2\ 2
\1 - x / \1 - x / \1 - x / *acos (x) \1 - x / *acos(x) \-1 + x / *acos(x) \1 - x / *acos (x) \1 - x / *acos(x) \-1 + x / *acos (x)
--------------------------------------------------------------------------------------------------------------------------------------------------------------
acos(x)
$$\frac{\frac{3 x^{2}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{3 x^{2} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}} \operatorname{acos}{\left(x \right)}} + \frac{6 x}{\left(x^{2} - 1\right)^{2} \operatorname{acos}{\left(x \right)}} + \frac{6 x \operatorname{asin}{\left(x \right)}}{\left(x^{2} - 1\right)^{2} \operatorname{acos}^{2}{\left(x \right)}} + \frac{1}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{\operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{acos}{\left(x \right)}} + \frac{6}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{acos}^{2}{\left(x \right)}} + \frac{6 \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{acos}^{3}{\left(x \right)}}}{\operatorname{acos}{\left(x \right)}}$$